Year of Award
Master of Philosophy (MPhil)
Department of Mathematics.
Simulation methods, Numerical analysis, Correlation (Statistics)
We have a conjecture that “the precision of computed solutions for systems of linear equations is more closely related with componentwise condition number c(A) than normwise condition number κ(A). We conducted simulation experiments to verify this conjecture. A statistical tool, Hotelling-Williams T-Test is employed to check if difference between correlations is significant. Simulation results suggest that our conjecture is true for most of the well-known methods and matrix sizes. Keywords: condition numbers, simulation, correlation coefficients, Hotelling-Williams T-Test
Includes bibliographical references (page 34)
Tan, Don Bing Dong, "Is the precision of computed solutions more closely related with componentwise condition number than normwise condition number?" (2016). Open Access Theses and Dissertations. 153.